Logicism, Intuitionism, and Formalism What Has Become of Them?

Logicism, Intuitionism, and Formalism What Has Become of Them?

S. Lindström, E. Palmgren, K. Segerberg, V. Stoltenberg-Hansen (Eds.) Logicism, Intuitionism, and Formalism What Has Become of Them? Series: Synthese Library, Vol. 341 ▶ Contains essays by world-leading experts in the philosophy and foundations of mathematics, describing current developments in the foundations of mathematics in a historical perspective ▶ Analyses the classical philosophical and foundational views of Frege, Brouwer, Hilbert, Gödel and Tarski and examines their relevance for current developments ▶ Provides an in-depth analysis of various kinds of neologicist philosophies of mathematics ▶ Contains a comprehensive section on mathematical intuitionism and constructive mathematics 2009, XII, 512 p. ▶ Offers extensive discussions, by several authors, of the proof- theoretic programme of Hilbert and Bernays Printed book The period in the foundations of mathematics that started in 1879 with the publication of Hardcover Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze ▶ 219,99 € | £199.99 | $279.99 der Principia Mathematica und verwandter Systeme I can reasonably be called the classical ▶ *235,39 € (D) | 241,99 € (A) | CHF 259.50 period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and eBook proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s. Available from your bookstore or ▶ springer.com/shop The purpose of this anthology is to review the programmes in the foundations of MyCopy mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the Printed eBook for just various foundational programmes of the classical period and the disputes that took place ▶ € | $ 24.99 between them? To what extent do the classical programmes of logicism, intuitionism and ▶ springer.com/mycopy formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields. Order online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: [email protected]. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: [email protected]. The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted..

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